Preheat your oven to 350°F (175°C). Grease a loaf pan.
In a large bowl, combine the grated zucchini, grated carrot, and vegetable oil.
Add the sugar, eggs, and vanilla extract. Mix well.
In another bowl, whisk together the flour, baking powder, baking soda, salt, and cinnamon.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Pour the batter into the prepared loaf pan and smooth the top.
Bake for 60 minutes, or until a toothpick inserted into the center comes out clean.
Allow the bread to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.